Rigidity and exotic models for the $K$–local stable homotopy category
- Publisher: MSP
QA | stable homotopy theory | model categories | QA612 | Bousfield localisation | 55P42 | 55P60
arxiv: Mathematics::Algebraic Topology | Mathematics::Category Theory
Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the [math] –local stable homotopy at the prime 2. For odd primes, however, this is not true: we discuss a counterexample given by Jens Franke and show how such exotic models for the [math] –local stable homotopy category at odd primes can be detected.